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Simplifying 4(x + 1) + 3 = 3x + -2 + -2x Reorder the terms: 4(1 + x) + 3 = 3x + -2 + -2x (1 * 4 + x * 4) + 3 = 3x + -2 + -2x (4 + 4x) + 3 = 3x + -2 + -2x Reorder the terms: 4 + 3 + 4x = 3x + -2 + -2x Combine like terms: 4 + 3 = 7 7 + 4x = 3x + -2 + -2x Reorder the terms: 7 + 4x = -2 + 3x + -2x Combine like terms: 3x + -2x = 1x 7 + 4x = -2 + 1x Solving 7 + 4x = -2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 4x + -1x = -2 + 1x + -1x Combine like terms: 4x + -1x = 3x 7 + 3x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + 3x = -2 + 0 7 + 3x = -2 Add '-7' to each side of the equation. 7 + -7 + 3x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -2 + -7 3x = -2 + -7 Combine like terms: -2 + -7 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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